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Finding the Third Proportional to 252,167 and 546,359

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Solution

The third proportional to 252,167 and 546,359 is: 1,183,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,167 : 546,359 = 546,359 : x
  2. Step 2: Convert to fraction form
    252,167/546,359 = 546,359/x
  3. Step 3: Cross multiply
    252,167x = 546,359 × 546,359
  4. Step 4: Simplify right side
    252,167x = 298,508,156,881
  5. Step 5: Solve for x
    x = 298,508,156,881/252,167
  6. Step 6: Final answer
    x = 1,183,771.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.